288968020 has 48 divisors (see below), whose sum is σ = 663163200. Its totient is φ = 104894720.

The previous prime is 288968003. The next prime is 288968063. The reversal of 288968020 is 20869882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223536 + ... + 224824.

It is an arithmetic number, because the mean of its divisors is an integer number (13815900).

Almost surely, 2^288968020 is an apocalyptic number.

288968020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288968020 is an abundant number, since it is smaller than the sum of its proper divisors (374195180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288968020 is a wasteful number, since it uses less digits than its factorization.

288968020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 288968020 is about 16999.0593857425. The cubic root of 288968020 is about 661.1245139313.

The spelling of 288968020 in words is "two hundred eighty-eight million, nine hundred sixty-eight thousand, twenty".